Home / 6,722-10,082.97-1,724.35

Finding the Fourth Proportional to 6,722, 10,082.97 and 1,724.35

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Solution

The fourth proportional to 6,722, 10,082.97 and 1,724.35 is: 2,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722 : 10,082.97 = 1,724.35 : x
  2. Step 2: Convert to fraction form
    6,722/10,082.97 = 1,724.35/x
  3. Step 3: Cross multiply
    6,722x = 10,082.97 × 1,724.35
  4. Step 4: Simplify right side
    6,722x = 17,386,560.70
  5. Step 5: Solve for x
    x = 17,386,560.70/6,722
  6. Step 6: Final answer
    x = 2,586.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.